when \(\nu \ne 0,-\mu \) , which is used in Lemma REF . When \(\mathrm {Re}(s)\)  is fixed, it is possible to obtain an asymptotic expansion uniform in \(\mu ,\nu ,\mathrm {Im}(s)\)  using a standard technique from harmonic analysis (see for instance [1]}), hence it is possible to obtain a sharper estimate than the estimate we prove here. However, the proof of the weaker estimate (REF ) is much simpler and sufficient for our application.
